Finding the Third Proportional to 20,320 and 31,448

Step by Step Solution

1. Step 1: Write the proportion equation
   20,320 : 31,448 = 31,448 : x
2. Step 2: Convert to fraction form
   20,320/31,448 = 31,448/x
3. Step 3: Cross multiply
   20,320x = 31,448 × 31,448
4. Step 4: Simplify right side
   20,320x = 988,976,704
5. Step 5: Solve for x
   x = 988,976,704/20,320
6. Step 6: Final answer
   x = 48,670.11